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230324014343031 = 371729461101347639
BaseRepresentation
bin110100010111101001111101…
…000011101110001101110111
31010012111202112120110212102220
4310113221331003232031313
5220142112040132434111
62133505220320333423
766341234534335320
oct6427517503561567
91105452476425386
10230324014343031
116742a95861aa94
12219ba406474273
139b695cc7a865b
1440c3a55603447
151b963c98ece06
hexd17a7d0ee377

230324014343031 has 128 divisors (see below), whose sum is σ = 385651852185600. Its totient is φ = 119220550901760.

The previous prime is 230324014342943. The next prime is 230324014343041. The reversal of 230324014343031 is 130343410423032.

It is a happy number.

It is not a de Polignac number, because 230324014343031 - 214 = 230324014326647 is a prime.

It is a super-2 number, since 2×2303240143430312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230324014342983 and 230324014343001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230324014343041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4834754710 + ... + 4834802348.

It is an arithmetic number, because the mean of its divisors is an integer number (3012905095200).

Almost surely, 2230324014343031 is an apocalyptic number.

230324014343031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230324014343031 is a deficient number, since it is larger than the sum of its proper divisors (155327837842569).

230324014343031 is a wasteful number, since it uses less digits than its factorization.

230324014343031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49169.

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 230324014343031 its reverse (130343410423032), we get a palindrome (360667424766063).

The spelling of 230324014343031 in words is "two hundred thirty trillion, three hundred twenty-four billion, fourteen million, three hundred forty-three thousand, thirty-one".

Divisors: 1 3 7 17 21 29 51 87 119 203 357 461 493 609 1013 1383 1479 3039 3227 3451 7091 7837 9681 10353 13369 17221 21273 23511 29377 40107 47639 51663 54859 88131 93583 120547 142917 164577 205639 227273 280749 333473 361641 466993 499409 616917 681819 809863 1000419 1381531 1400979 1498227 1590911 2429589 3268951 3495863 4144593 4772733 5669041 7938881 9670717 9806853 10487589 13542797 17007123 21961579 23486027 23816643 29012151 40628391 48258307 55572167 65884737 70458081 94799579 144774921 153731053 164402189 166716501 230227549 284398737 337808149 373346843 461193159 493206567 636885791 690682647 820391219 1013424447 1120040529 1399490903 1611592843 1910657373 2461173657 2613427901 4198472709 4458200537 4834778529 5742738533 7840283703 9796436321 10827058447 13374601611 17228215599 22247079527 23791345351 29389308963 32481175341 66741238581 71374036053 75789409129 155729556689 166539417457 227368227387 378200351959 467188670067 499618252371 645165306283 1134601055877 1935495918849 2647402463713 4516157143981 7942207391139 10967810206811 13548471431943 32903430620433 76774671447677 230324014343031